<!-- File mmlextra.ent produced by the XSL script mmldtd.xsl from input data in unicode.xml. Please report any errors to David Carlisle <davidc@nag.co.uk>. The numeric character values assigned to each entity (should) match either official Unicode assignments or assignments provisionally allocated by the Unicode Consortium based on the characters in the `STIX' propsal for mathematics. Note that these assignments have not been ratified by the corresponding ISO committee and thus should be considered liable to change. --> <!ENTITY af "⁡" ><!--character showing function application in presentation tagging --> <!ENTITY aopf "𝕒" ><!-- --> <!ENTITY bopf "𝕓" ><!-- --> <!ENTITY copf "𝕔" ><!-- --> <!ENTITY Cross "⨯" ><!--cross or vector product --> <!ENTITY dd "ⅆ" ><!--d for use in differentials, e.g., within integrals --> <!ENTITY DD "ⅅ" ><!--D for use in differentials, e.g., within integrals --> <!ENTITY dopf "𝕕" ><!-- --> <!ENTITY DownArrowBar "⤓" ><!--down arrow to bar --> <!ENTITY DownBreve "̑" ><!--breve, inverted (non-spacing) --> <!ENTITY DownLeftRightVector "⥐" ><!--left-down-right-down harpoon --> <!ENTITY DownLeftTeeVector "⥞" ><!--left-down harpoon from bar --> <!ENTITY DownLeftVectorBar "⥖" ><!--left-down harpoon to bar --> <!ENTITY DownRightTeeVector "⥟" ><!--right-down harpoon from bar --> <!ENTITY DownRightVectorBar "⥗" ><!--right-down harpoon to bar --> <!ENTITY ee "ⅇ" ><!--e use for the exponential base of the natural logarithms --> <!ENTITY EmptySmallSquare "◽" ><!--empty small square --> <!ENTITY EmptyVerySmallSquare "" ><!--empty small square --> <!ENTITY eopf "𝕖" ><!-- --> <!ENTITY Equal "⩵" ><!--two consecutive equal signs --> <!ENTITY FilledSmallSquare "◾" ><!--filled small square --> <!ENTITY FilledVerySmallSquare "" ><!--filled very small square --> <!ENTITY fopf "𝕗" ><!-- --> <!ENTITY gopf "𝕘" ><!-- --> <!ENTITY GreaterGreater "⪢" ><!--alias for GT --> <!ENTITY hopf "𝕙" ><!-- --> <!ENTITY HorizontalLine "─" ><!--short horizontal line --> <!ENTITY ic "​" ><!--short form of ⁣ --> <!ENTITY ii "ⅈ" ><!--i for use as a square root of -1 --> <!ENTITY iopf "𝕚" ><!-- --> <!ENTITY it "⁢" ><!--marks multiplication when it is understood without a mark --> <!ENTITY jopf "𝕛" ><!-- --> <!ENTITY kopf "𝕜" ><!-- --> <!ENTITY larrb "⇤" ><!--leftwards arrow to bar --> <!ENTITY LeftDownTeeVector "⥡" ><!--down-left harpoon from bar --> <!ENTITY LeftDownVectorBar "⥙" ><!--down-left harpoon to bar --> <!ENTITY LeftRightVector "⥎" ><!--left-up-right-up harpoon --> <!ENTITY LeftTeeVector "⥚" ><!--left-up harpoon from bar --> <!ENTITY LeftTriangleBar "⧏" ><!--not left triangle, vertical bar --> <!ENTITY LeftUpDownVector "⥑" ><!--up-left-down-left harpoon --> <!ENTITY LeftUpTeeVector "⥠" ><!--up-left harpoon from bar --> <!ENTITY LeftUpVectorBar "⥘" ><!--up-left harpoon to bar --> <!ENTITY LeftVectorBar "⥒" ><!--left-up harpoon to bar --> <!ENTITY LessLess "⪡" ><!--alias for Lt --> <!ENTITY lopf "𝕝" ><!-- --> <!ENTITY mapstodown "↧" ><!--downwards arrow from bar --> <!ENTITY mapstoleft "↤" ><!--leftwards arrow from bar --> <!ENTITY mapstoup "↥" ><!--upwards arrow from bar --> <!ENTITY MediumSpace " " ><!--space of width 4/18 em --> <!ENTITY mopf "𝕞" ><!-- --> <!ENTITY nbump "≎̸" ><!--not bumpy equals --> <!ENTITY nbumpe "≏̸" ><!--not bumpy single equals --> <!ENTITY NegativeMediumSpace " ︀" ><!--space of width -4/18 em --> <!ENTITY NegativeThickSpace " ︀" ><!--space of width -5/18 em --> <!ENTITY NegativeThinSpace " ︀" ><!--space of width -3/18 em --> <!ENTITY NegativeVeryThinSpace " ︀" ><!--space of width -1/18 em --> <!ENTITY nesim "≂̸" ><!--not equal or similar --> <!ENTITY NewLine "
" ><!--force a line break; line feed --> <!ENTITY NoBreak "" ><!--never break line here --> <!ENTITY nopf "𝕟" ><!-- --> <!ENTITY NotCupCap "≭" ><!--alias for &nasymp; --> <!ENTITY NotHumpEqual "≏̸" ><!--alias for ≏̸ --> <!ENTITY NotLeftTriangleBar "⧏̸" ><!--not left triangle, vertical bar --> <!ENTITY NotNestedGreaterGreater "⒢̸" ><!--not double greater-than sign --> <!ENTITY NotNestedLessLess "⒡̸" ><!--not double less-than sign --> <!ENTITY NotRightTriangleBar "⧐̸" ><!--not vertical bar, right triangle --> <!ENTITY NotSquareSubset "⊏̸" ><!--square not subset --> <!ENTITY NotSquareSuperset "⊐̸" ><!--negated set-like partial order operator --> <!ENTITY NotSucceedsTilde "≿̸" ><!--not succeeds or similar --> <!ENTITY oopf "𝕠" ><!-- --> <!ENTITY OverBar "¯" ><!--over bar --> <!ENTITY OverBrace "︷" ><!--over brace --> <!ENTITY OverBracket "⎴" ><!--over bracket --> <!ENTITY OverParenthesis "︵" ><!--over parenthesis --> <!ENTITY planckh "ℎ" ><!--the ring (skew field) of quaternions --> <!ENTITY popf "𝕡" ><!-- --> <!ENTITY Product "∏" ><!--alias for &prod --> <!ENTITY qopf "𝕢" ><!-- --> <!ENTITY rarrb "⇥" ><!--leftwards arrow to bar --> <!ENTITY RightDownTeeVector "⥝" ><!--down-right harpoon from bar --> <!ENTITY RightDownVectorBar "⥕" ><!--down-right harpoon to bar --> <!ENTITY RightTeeVector "⥛" ><!--right-up harpoon from bar --> <!ENTITY RightTriangleBar "⧐" ><!--vertical bar, right triangle --> <!ENTITY RightUpDownVector "⥏" ><!--up-right-down-right harpoon --> <!ENTITY RightUpTeeVector "⥜" ><!--up-right harpoon from bar --> <!ENTITY RightUpVectorBar "⥔" ><!--up-right harpoon to bar --> <!ENTITY RightVectorBar "⥓" ><!--up-right harpoon to bar --> <!ENTITY ropf "𝕣" ><!-- --> <!ENTITY RoundImplies "⥰" ><!--round implies --> <!ENTITY RuleDelayed "⧴" ><!--rule-delayed (colon right arrow) --> <!ENTITY ShortDownArrow "⌄︀" ><!--short down arrow --> <!ENTITY ShortUpArrow "⌃︀" ><!--short up arrow --> <!ENTITY sopf "𝕤" ><!-- --> <!ENTITY Tab "	" ><!--tabulator stop; horizontal tabulation --> <!ENTITY ThickSpace "   " ><!--space of width 5/18 em --> <!ENTITY topf "𝕥" ><!-- --> <!ENTITY UnderBar "̲" ><!--combining low line --> <!ENTITY UnderBrace "︸" ><!--under brace --> <!ENTITY UnderBracket "⎵" ><!--under bracket --> <!ENTITY UnderParenthesis "︶" ><!--under parenthesis --> <!ENTITY uopf "𝕦" ><!-- --> <!ENTITY UpArrowBar "⤒" ><!--up arrow to bar --> <!ENTITY VerticalLine "|" ><!--alias ISONUM verbar --> <!ENTITY VerticalSeparator "❘" ><!--vertical separating operator --> <!ENTITY vopf "𝕧" ><!-- --> <!ENTITY wopf "𝕨" ><!-- --> <!ENTITY xopf "𝕩" ><!-- --> <!ENTITY yopf "𝕪" ><!-- --> <!ENTITY zopf "𝕫" ><!-- -->